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Finding the Fourth Proportional to 3,478.58, 4,797.62 and 2,219.24

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Solution

The fourth proportional to 3,478.58, 4,797.62 and 2,219.24 is: 3,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.58 : 4,797.62 = 2,219.24 : x
  2. Step 2: Convert to fraction form
    3,478.58/4,797.62 = 2,219.24/x
  3. Step 3: Cross multiply
    3,478.58x = 4,797.62 × 2,219.24
  4. Step 4: Simplify right side
    3,478.58x = 10,647,070.21
  5. Step 5: Solve for x
    x = 10,647,070.21/3,478.58
  6. Step 6: Final answer
    x = 3,060.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.